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Finding the Fourth Proportional to 31,761.97, 47,643.02 and 9,581.70

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Solution

The fourth proportional to 31,761.97, 47,643.02 and 9,581.70 is: 14,372.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,761.97 : 47,643.02 = 9,581.70 : x
  2. Step 2: Convert to fraction form
    31,761.97/47,643.02 = 9,581.70/x
  3. Step 3: Cross multiply
    31,761.97x = 47,643.02 × 9,581.70
  4. Step 4: Simplify right side
    31,761.97x = 456,501,124.73
  5. Step 5: Solve for x
    x = 456,501,124.73/31,761.97
  6. Step 6: Final answer
    x = 14,372.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.